Answer:
1. y=3
2. y=3
Step-by-step explanation:
Let's start with the first one, 2x-2y=-8...
Substitute x with -1 -----> 2(-1)-2y=-82 times -1 makes -2 so new equation is ---> -2-2y=-8Now add 2 on each side to get rid of 2 and get this ----> -2y=-6Now divide -6 by -2 to get this ----> y=3Let's start with the second one, 2x+2y=4
Substitute x with -1 -----> 2(-1)+2y=42 times -1 makes -2 so new equation is ---> -2+2y=4Now add 2 on each side to get rid of 2 and get this ----> 2y=6Now divide 6 by 2 to get this ----> y=3I hope my explanation and answer helps:)
Deondra measures an object as 2 3/4 inches to the nearest quarter inch. Abdul measures the same object as 2 1/2 inches to the nearest half inch. Can they both be correct? Explain
The ranges overlap, it is possible for both measurements to be correct.
What do significant figures in computations and measurements mean?Since they show how precise and accurate the numbers being utilised are, significant figures are crucial in measurements and computations. In order to prevent mistakes and maintain the required degree of precision, it is crucial to maintain consistency in the number of significant figures throughout computations. This indicates the amount of uncertainty in a measurement.
Given that, Deondra measures an object as 2 3/4 inches and Abdul measures 2 1/2 inches to the nearest half inch.
The actual length for Deondra is between 2 5/8 inches and 2 7/8 inches.
For Abdul the actual length is between 2 inches and 3 inches.
Since the ranges overlap, it is possible for both measurements to be correct.
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Solve Question
a/5 + 3 = 8
3b/7 - 1 = 5
Answer:
a=25
b=14
Step-by-step explanation:
to find a -
Step 1: Simplify both sides of the equation.
Step 2: Subtract 3 from both sides.
Step 3: Multiply both sides by 5.
to find b-
Step 1: Simplify both sides of the equation.
Step 2: Add 1 to both sides.
Step 3: Multiply both sides by 7/3.
Answer:a/5 + 3 = 8
a=25
Step-by-step explanation: look at pic
CAN SOMEONE HELP ME OUT ASAP!!! PLEASE
Answer:
-6.5)7 1/4)6.57)-5 58/100)9 1/3
Step-by-step explanation:
I have no explanation
5x+3y=-16
-10x-3y=11
Find the solution
Answer: x = 3.2 + 0.6y
Step-by-step explanation: Simplifying
5x + -3y = 16
Solving
5x + -3y = 16
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3y' to each side of the equation.
5x + -3y + 3y = 16 + 3y
Combine like terms: -3y + 3y = 0
5x + 0 = 16 + 3y
5x = 16 + 3y
Divide each side by '5'.
x = 3.2 + 0.6y
Simplifying
x = 3.2 + 0.6y
help meeeeeeee;-; ;-; ;-; ;-; ;-;
Answer: x=10
Step-by-step explanation: All three corners added up equals 180 degrees. 180-57=123 123-(4+9)=110 110/ (4+7) = 10
Answer:
x=10
Step-by-step explanation:
Interior Angle sum of a triangle is 180. So the angle measures are 57, 4x+4, and 7x+9. You can make an equation of 11x+70=180 by adding the angle measures together. Subtract 70 from both sides, so 11x= 110. x=10.
The function (x) = x is shown on the graph,
Which statement is correct?
The domain of the function is all real numbers
greater than or equal to 0.
The range of the function is all real numbers greater
than or equal to -1
The range of the function is all real numbers less
than or equal to 0.
The domain of the function is all real numbers less
than or equal to 0.
Answer:
the domain of the function is all real numbers less than or equal to 0
So I have been doing this forever please help me
Answer:
Let "b" be the total bill before the tip.
The tip was 18% of the bill, or 0.18 * b.
The tip was also $4.50, so we can set up the equation 0.18b = $4.50.
Solving for b, we get:
0.18b = $4.50
b = $4.50 / 0.18
b = $25
Therefore, Sierra's total bill before the tip was $25.
What is the difference written in scientific notation?
1.3 x 106 – 6.8 x 105
8.84 x 10'
-6.67 x 10
6.2 x 103
-5.5 x 10
Done
1.3 × 10^6 - 0.68 × 10^6 =
( 1.3 - 0.68 ) × 10^6 =
0.62 × 10^6 =
6.2 × 10^5
Jacob and his 6 friends are at restaurant and split the bill evenly. If ecah person paid $20, what was the bill total?
calculate 50% of 200
Answer:
100
Step-by-step explanation:
hopes this helps
Answer:
100
Step-by-step explanation:
Use the value of the discriminant to determine whether the quadratic equation has two rational solutions, two irrational solutions, one repeated real solution, or two complex solutions that are not real.
3z² +3z +10=0
Choose the correct answer below.
O A. one repeated real solution
OB. two irrational solutions
OC. two rational solutions
OD. two complex solutions that are not real
Answer:
D
Step-by-step explanation:
discriminant = 9 - 4(10 * 3)
9 - 4 * 30
9 - 120 = -111
Is negative so the equation has two complex solutions
How many different ways could I choose three shirts to pack for a weekend trip, if I have 12 shirts to choose from
The number of different ways to choose three shirts to pack for a weekend trip from 12 shirts is; 220.
What is the number of different ways to choose 3 shirts from 12 interviews?It follows from the task content that the number of different ways to choose three shirts from 12 is required to be determined.
Since the exercise implies selection; it follows that that the exercise is a combination.
The number of different ways to choose 3 shirts from 12 is; ¹²C³
= 220 ways.
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Find x. Hypotenuse would be 16 and opposite would be y and x would be adjacent
Answer:
x= 6.762° y= 14.501°
Step-by-step explanation:
remember if you don't have the missing angle adjacent(side) to the right angle, it wont work. If you ever need to find it, tell me.
can
yall help me ASAP ?
A 92.-tt tree casts: a shadow that is 130 ft long. What is the angle of elevation of the sun? (Round your answer to one decimal placti)
Can be determined by the inverse tangent of the shadow length divided by the height of the tree. With a shadow length of 130 ft and a tree height of 92 ft, the angle of elevation of the sun is approximately 55.55°.
The height of the tree represents one side of the triangle, and the length of the shadow represents the corresponding side of a similar triangle formed by the tree and its shadow.
tan(angle of elevation) = height of tree / length of shadow
Substituting the given values, we have:
tan(angle of elevation) = 92 ft / 130 ft
To find the angle of elevation, we can take the inverse tangent (arctan) of both sides:
angle of elevation = arctan(92 ft / 130 ft)
angle of elevation ≈ 55.55°
Therefore, the angle of elevation of the sun is approximately 55.55°.
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consider following recurrence relation. what will be the number next in series in place of question mark? 0, 3, 8, 15, 24, 35, 48, ?
The number that will be next in the series will be 63 .
In the question ,
a recurrence relation is given that is 0, 3, 8, 15, 24, 35, 48, ? .
we have to find the number that will come in place of question mark .
On carefully examining the series , we can see that
3 - 0 = 3
8 - 3 = 5
15 - 8 = 7
24 - 15 = 9
35 - 24 = 11
48 - 35 = 13
we can se that increments 3,5,7,9,11,13,... form an Arithmetic Progression
with first term as 3 and common difference as 2 ,
So ,the next increment will be 13+2 = 15
let the next term be "x" .
x - 48 = 15
x = 15 + 48 = 63
the number in place of ? is 63 .
Therefore , The number that will be next in the series will be 63 .
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please answer fast!!! please
The value of angle x is 36°
What are angles on a straight line?Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line.
The sum of angles on a straight line is 180° . therefore if angles on a straight line are A, B, C
A + B + C = 180°
Similarly since the angles on the line are all x, then,
x+x +x +x + x = 180°
5x = 180
divide both sides by 5
x = 180/5
x = 36
This means the value of each angle is 36°
Therefore the value of x is 36°
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how to I find x and y.
Answer:the example equation becomes "x + 10 - 15x = 20," which is then "-14 x + 10 = 20." Subtract 10 from each side, divide by 14 and you have end up with x = -10/14, which simplifies to x = -5/7. Plug in the x value in to the first equation to find out the y value.
Step-by-step explanation:
Answer:
x=9
y=14
Step-by-step explanation:
Your picture shows that the two angles are congruent so:
2[(2x+27)]=90
4x+54=90
4x=36
x=9
Your picture shows the two horizontal lines as congruent also so:
4y-19=y+23
4y-19+19=y-y+23+19
3y=42
y=14
16-20 is all i need PLEASE HELPPPPP I need it by 4:00 tomorrow
Answer:
16. 7
17. 12
18. 4
19. 32
20. 10
Step-by-step explanation:
Answer:
16.
17.
18.
19.
20.
Step-by-step explanation:
16.
21.50- 4= 17.50
17.50/ 2.50= 7
You can go on rides.
17.
68.88- 45.00= 23.88
23.88/ 1.99= 12
You rented 12 movies.
18.
24/8= 3
the width is 3 ft.
19.
412- 28= 384
384/12= 32
they are 32 students in each of the remaining homerooms.
20.
A.
4*2= 8
8+0.5= 8.5
8.5+ 1.5= 10
You have 10 cans of paint.
I'm sorry but id k how to solve b.
But hope this helped! (ノ◕ヮ◕)ノ*:・゚✧
Have a nice day! ( ゚д゚)つ Bye
Suppose that f(1) = 1, f(4) = 5, f '(1) = 3, f '(4) = 3, and f '' is continuous. find the value of 4 1 xf ''(x) dx.
Answer: b
Step-by-step explanation:
I think
when a single card is drawn from a standard 52-card deck, what is the probability that it will be a king or a diamond?
The probability that it will be a king or a diamond is 4/13
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Here, we have
There are 52 cards, of which 4 are kings.
There are 52 cards, of which 13 are diamonds.
But there are only 3 cards that are kings which are not diamonds, and only 12 cards that are diamonds but not kings, there’s one card that is both a king and a diamond.
So, there are 3/52+12/52=15/52 chances of drawing a card that is king or diamond but not both.
There are 3/52+12/52+1/52=16/52 chances of drawing a card that is king or diamond or both.
Hence, the probability that it will be a king or a diamond is 4/13.
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Obtain the equation for the least-squares regression line for this data. What is the average chance of admission for a student who scores a 305 on the GRE?
a) 45% (or 0.45)
b) 51% (or 0.51)
c) 61% (or 0.61)
d) 70% (or 0.71)
The equation for the least-squares regression line for the given data and the average chance of admission for a student who scores a 305 on the GRE are options b) 51% (or 0.51).
To find the equation for the least-squares regression line, we need to first calculate the slope and y-intercept. Let x be the predictor variable (GRE score) and y be the response variable (admission chance). Then, we have:
n = 10 (number of data points)
Σx = 3100
Σy = 52.1
Σxy = 161750
Σx^2 = 96100
Σy^2 = 24.71
The slope, b, can be calculated as:
b = (nΣxy - ΣxΣy) / (nΣx^2 - Σx^2)
= (10(161750) - (3100)(52.1)) / (10(96100) - 3100^2)
= 0.0644
The y-intercept, a, can be calculated as:
a = (Σy - bΣx) / n
= (52.1 - (0.0644)(3100)) / 10
= 0.336
Therefore, the equation for the least-squares regression line is:
y = 0.0644x + 0.336
To find the average chance of admission for a student who scores a 305 on the GRE, we simply substitute x = 305 into the equation and solve for y:
y = 0.0644(305) + 0.336
= 0.5136
So the average chance of admission for a student who scores a 305 on the GRE is b) 51% (or 0.51).
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What is the sequence of transformations that maps △ABC to △A′B′C′?
Select from the drop-down menus to correctly identify each step.
The transformation taking place in triangles are 90° rotation counterclockwise about origin and translation 3 units up.
What is transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Given that, △ ABC is transformed in to △ A′B′C′
Firstly, △ ABC is being rotated 90° counterclockwise about the origin, and then it translated 3 units up.
Hence, The transformation taking place in triangles are 90° rotation counterclockwise about origin and translation 3 units up.
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Determine the domain of the following graph
Answer:
5555555555555555555555555555
turns 25 degrees to the left, he faces a boat that is 40 meters away. When he turns 8 degrees right, he faces a sea doo that is 13 meters away. How far is the boat from the sea doo?
The distance by pythagoras theorum of the boat from the sea is 37.8m.
What is the Pythagoras theorem?The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean between the three sides of a right triangle. This state that the area of the square whose side is the hypotenuse is equal to the sum of the Area of the squares on the other two sides.
|AC|^2 = |AB|^2 + |BC|^2
We are given;
John turns 25 dgerees left to see boat
Distance of boat= 40m
He turns left by 8 degrees to see doo
Distance of doo= 13m
Now,
40^2= B^2 + 13^2
1600= B^2 + 169
B^2= 1431
B=37.8
Therefore, by pythagoras theorum the distance will be 37.8m.
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Q2) For total cost: TC(q)=10−6q+q2 determine: a. the production level (q∗) that minimizes total cost. b. The amount of Total cost for the q∗, in other words TC(q∗) ? (10 pints)
The amount of total cost at q* is 1.
To determine the production level that minimizes total cost, we need to find the value of q (production level) at which the derivative of the total cost function TC(q) is equal to zero. Let's begin by finding the derivative of TC(q):
TC(q) = 10 - 6q + q^2
To find the minimum point, we differentiate TC(q) with respect to q:
d(TC(q))/dq = -6 + 2q
Setting the derivative equal to zero and solving for q:
-6 + 2q = 0
2q = 6
q = 3
So the production level q* that minimizes the total cost is 3.
To find the amount of total cost at q*, we substitute q = 3 into the total cost function TC(q):
TC(q*) = 10 - 6(3) + (3)^2
TC(q*) = 10 - 18 + 9
TC(q*) = 1
Therefore, the amount of total cost at q* is 1.
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An auditor is determining the appropriate sample size for testing inventory valuation using MUS. The population has 2.620 inventory items valued at $12.625.000. The tolerable misstatement is $500.000 at a 10% ARIA. No misstatements are expected in the population. Calculate the preliminary sample size. (Confidence factor: 2,31)
The preliminary sample size is undefined since the projected misstatement is zero.
In determining the appropriate sample size for testing inventory valuation using MUS, the following steps are taken;
Plan the audit- Identify the tolerable misstatement. Assess inherent and control risk. Estimate population deviations. Determine the preliminary sample size. Select the sample to perform the audit procedures. Evaluate the results.Given that the population has 2,620 inventory items valued at $12,625,000 and the tolerable misstatement is $500,000 at a 10% ARIA, we can calculate the preliminary sample size using the formula;
Preliminary sample size = (Confidence Factor2 × Tolerable Misstatement)/Projected misstatement.
Considering that no misstatements are expected in the population, the projected misstatement will be zero.
Thus; the Preliminary sample size = (2.31 × 500,000)/0. Preliminary sample size = (2.31 × ∞) / 0. The preliminary sample size is undefined.
In conclusion, the preliminary sample size is undefined since the projected misstatement is zero.
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Alicia borrowed $3000 from a bike at a rate of 12% simple interest per year how much interest did she pay in four years
Answer:
$1440
Step-by-step explanation:
$3000 (12%) = 360
360 x 4 = 1440
Hope this helps!
PLEASE ANSWER I WILL GIVE BRAINLIEST AND IT IS WORTH 35 POINTS
1. if c is 54 and d is 48 find k
2. if a is 52 and k is 22 find d
3. if c is 25 and k is 18 find a
4. if k is 15 find w
5. if w is 19 find k
1. if c is 54 and d is 48; k = -11.11%
2. if a is 52 and k is 22; d = 66.67
3. if c is 25 and k is 18; a = 16.81
4. if k is 15; w = 0.7225
5. if w is 19; k = 56.4%
How to solve percentages?Percentage refers to the fraction of a number that is expressed as a number out of hundred. The sign used to represent percentages is %.
1.
k = (d/c - 1) × 100
= (48/54 - 1) × 100
k = -11.11%
2.
d = a/(1 - k%)
= 52/(1-22%)
= 52/0.78
= 66.67
3.
d = (1 - 0.18) x 25
= 20.50
a = (1 - 0.18) x 20.50 = 16.81
4.
w = (1 - 0.15) x (1-0.15)
= 0.85 x 0.85
= 0.7225
5.
k = (1 - √0.19) × 100
= 56.4%
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Let UCR be the Q vector space: U = { a+b√2b+c√3+d√6|a,b,c,d € Q} Exercise 15. It turns out that dim(U) = 4. Using this result, show that every elementy EU must be the root of some rational polynomial P(x) = Q[x] with deg(P) ≤ 4.
Since dim(U) = 4, which means the dimension of the vector space U is 4, it implies that any element y in U can be represented as the root of a rational polynomial P(x) = Q[x] with a degree less than or equal to 4.
The vector space U is defined as U = {a + b√2 + c√3 + d√6 | a, b, c, d ∈ Q}, where Q represents the field of rational numbers. We are given that the dimension of U is 4, which means that there exist four linearly independent vectors that span the space U.
Since every element y in U can be expressed as a linear combination of these linearly independent vectors, we can represent y as y = a + b√2 + c√3 + d√6, where a, b, c, d are rational numbers.
Now, consider constructing a rational polynomial P(x) = Q[x] such that P(y) = 0. Since y belongs to U, it can be written as a linear combination of the basis vectors of U. By substituting y into P(x), we obtain P(y) = P(a + b√2 + c√3 + d√6) = 0.
By utilizing the properties of polynomials, we can determine that the polynomial P(x) has a degree less than or equal to 4. This is because the dimension of U is 4, and any polynomial of higher degree would result in a linearly dependent set of vectors in U.
Therefore, every element y in U must be the root of some rational polynomial P(x) = Q[x] with a degree less than or equal to 4.
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A class is selling smoothie tickets to raise money. It costs $700 for a bulk order of smoothies. If they charge $4.50 per smoothie ticket, what is the maximum amount of smoothie tickets they need to sell to raise at least $1,600?
A. 185 tickets
B. 200 tickets
C. 215 tickets
D. 250 tickets
Answer:
Step-by-step explanation:
Ok look, you gonna laern something’s so basically you can not be a man of a man who is a man of a man and he killed you he was the one he saw him kill him he said it would be a good day he is not the only person who he was killed him in electric he didn’t know what he saw and killed a good man he said was he killed a man he was a good father he said ihe on my way to the hospital was at my moms for my first time here in a good day with him I was with green light blue red white white yellow blue blue orange green yellow blue blue green green orange yellow yellow orange orange brown white yellow yellow white yellow orange yellow yellow green yellow blue blue i was the yellow orange orange yellow orange green yellow blue blue white white blue green green among us
E